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Compression of Phylogenetic Networks and Algorithm for the Tree Containment Problem.

Andreas D M Gunawan1, Hongwei Yan1, Louxin Zhang1

  • 1Department of Mathematics, National University of Singapore, Singapore 119076, Singapore.

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|January 10, 2019
PubMed
Summary

This study introduces network compression for rooted phylogenetic networks, revealing new connections between network classes. This advances the study of complex evolutionary processes and aids in solving the cluster containment problem efficiently.

Keywords:
cluster containment problemgalled networkphylogenetic networksreticulation visibilitytree-child and tree-sibling properties

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Area of Science:

  • Evolutionary biology
  • Computational biology
  • Graph theory

Background:

  • Rooted phylogenetic networks model complex evolutionary histories involving reticulation events like hybridization and recombination.
  • Understanding relationships between different classes of phylogenetic networks is crucial for evolutionary inference.

Purpose of the Study:

  • To introduce a rigorous definition of network compression for rooted phylogenetic networks.
  • To explore the implications of network compression for understanding relationships between network classes.
  • To define a new class of networks with efficient cluster containment problem solving.

Main Methods:

  • Definition of network compression based on relationships between cluster, tree, and rooted phylogenetic networks.
  • Analysis of connections between tree-child networks and reticulation-visible networks.
  • Development of a new network class based on the compression concept.

Main Results:

  • A rigorous definition of network compression is established.
  • New connections are revealed between established rooted phylogenetic network classes.
  • A novel class of networks is defined where the cluster containment problem is solvable in linear time.

Conclusions:

  • Network compression provides a unifying framework for studying rooted phylogenetic networks.
  • The introduced concept facilitates a deeper understanding of evolutionary network structures.
  • The newly defined network class offers computational advantages for phylogenetic analysis.